Zoe and Ivan received $170 in total from their father. After Zoe spent ²₃ of her money and Ivan deposited ³₅ of his money into his savings account, Zoe had twice as much money as Ivan.

1. Find the amount of money Zoe received from her father.
2. If Ivan' savings increased by 40% after the deposit, how much was Ivan' savings in the bank in the end?

	Zoe	Ivan	Total
Before	3x4 = 12 u	5 u	$170
Change	- 2x4 = - 8 u	- 3 u
After	1x4 = 4 u	2 u
Comparing Zoe and Ivan in the end	2x2	1x2

Fraction of Zoe's money left
= 1 - ²₃
= ¹₃

Fraction of Ivan's money left
= 1 - ³₅
= ²₅

The amount that Zoe had in the end is repeated.  Make the amount that Zoe had in the end the same. LM of 2 and 1 is 4.

Total amount given to Zoe and Ivan
= 12 u + 5 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Amount that Zoe received from her father
= 12 u
= 12 x 10
= $120

(b)
Amount that Ivan deposited
= 3 u
= 3 x 10
= $30

Savings that Ivan had at first = 100%

Savings that Ivan had in the end
= 100% + 40%
= 140%

40% of the savings = 30
1% of the savings = ³⁰₄₀
140% of the savings = 140 x ³⁰₄₀ = 105

Ivan's savings in the end = $105

Answer(s): (a) $120; (b) $105